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Finding the Fourth Proportional to 13,623.84, 18,800.64 and 8,319.60

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Solution

The fourth proportional to 13,623.84, 18,800.64 and 8,319.60 is: 11,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,623.84 : 18,800.64 = 8,319.60 : x
  2. Step 2: Convert to fraction form
    13,623.84/18,800.64 = 8,319.60/x
  3. Step 3: Cross multiply
    13,623.84x = 18,800.64 × 8,319.60
  4. Step 4: Simplify right side
    13,623.84x = 156,413,804.54
  5. Step 5: Solve for x
    x = 156,413,804.54/13,623.84
  6. Step 6: Final answer
    x = 11,480.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.